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The compositeness of weakly bound states is discussed using the effective field theory from the viewpoint of the low-energy universality. We introduce a model with coupling of the single-channel scattering to the bare state, and study the…

High Energy Physics - Phenomenology · Physics 2024-09-26 Tomona Kinugawa , Tetsuo Hyodo

In one-dimensional (1D) non-perturbative many-electron problems such as the 1D Hubbard model the electronic charge and spin degrees of freedom separate into exotic quantum objects. However, there are two different representations for such…

Strongly Correlated Electrons · Physics 2007-05-23 J. M. P. Carmelo , K. E. Hibberd , N. Andrei

Singularities, such as poles and branch points, play a crucial role in investigating the analytic properties of scattering amplitudes that inform new computational techniques. In this note, we point out that scattering amplitudes can also…

High Energy Physics - Theory · Physics 2023-05-10 Sebastian Mizera

Halo nuclei are a promising new arena for studies based on effective field theory (EFT). We develop an EFT for shallow p-wave states and discuss the application to elastic n-alpha scattering. In contrast to the s-wave case, both the…

Nuclear Theory · Physics 2009-11-07 C. A. Bertulani , H. -W. Hammer , U. van Kolck

Elastic quantum bound-state reflection from a hard-wall boundary provides direct information regarding the structure and compressibility of quantum bound states. We discuss elastic quantum bound-state reflection and derive a general theory…

Nuclear Theory · Physics 2013-01-18 Michelle Pine , Dean Lee

The creation of artificial gauge fields in neutral ultracold atom systems has opened the possibility to study the effects of spin-orbit coupling terms in clean environments. This work considers the multi-channel scattering properties of two…

Atomic Physics · Physics 2018-09-12 Su-Ju Wang , Q. Guan , D. Blume

We formulate scattering in one dimension due to the coupled Schr\"{o}dinger equation in terms of the $S$ matrix, the unitarity of which leads to constraints on the scattering amplitudes. Levinson's theorem is seen to have the form $\eta(0)…

Quantum Physics · Physics 2014-11-18 K. A. Kiers , W. van Dijk

We propose an effective field theory to describe hadrons with two heavy quarks without any assumption on the typical distance between the heavy quarks with respect to the typical hadronic scale. The construction is based on Non-Relativistic…

High Energy Physics - Phenomenology · Physics 2024-11-11 Joan Soto , Jaume Tarrús Castellà

The scattering amplitude of a charged particle from a long hard cylinderical solenoid is derived by solving the time independent Schr\"{o}dinger equation on a double connected plane. It is a summation over the angular momentum quantum…

Quantum Physics · Physics 2015-03-31 Oktay Yilmaz

In any consistent massive quantum field theory there are well known bounds on scattering amplitudes at high energies. In conformal field theory there is no scattering amplitude, but the Mellin amplitude is a well defined object analogous to…

High Energy Physics - Theory · Physics 2020-03-18 Matthew Dodelson , Hirosi Ooguri

We consider the elastic scattering of two open strings living on two D-branes separated by a distance $r$. We compute the high-energy behavior of the amplitude, to leading order in string coupling, as a function of the scattering angle…

High Energy Physics - Theory · Physics 2009-10-31 C. Bachas , B. Pioline

Electron-argon scattering in the presence of a linearly polarized, low frequency laser field is studied theoretically. The scattering geometries of interest are small angles where momentum transfer is nearly perpendicular to the field,…

Atomic Physics · Physics 2015-06-11 Nathan Morrison , Chris H. Greene

We present an effective field theory formulation for a class of condensed matter systems with crystalline structures for which some of the discrete symmetries of the underlying crystal survive the long distance limit, up to mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2009-09-29 Federico L. Bottesi , Guillermo R. Zemba

We discuss the electromagnetic corrections to the pion-nucleon scattering lengths generated by minimal e. m. coupling from a knowledge of the low energy expansion of the pion-nucleon elastic scattering amplitude as well as from the nucleon…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. E. O. Ericson

The scattering of an electromagnetic plane wave from Young pinholes upon a quasi-homogeneous (QH) anisotropic medium is studied within the accuracy of the first-order Born approximation. By assuming that the diffractive wave from pinholes…

Optics · Physics 2017-06-27 Josh Abbey , Lin Frank Chan

We examine the convergence properties of the 2-nucleon Effective Range Expansion as used in Effective Theories (ET-ERE's) for 3-nucleon calculations. We accomplish this by accounting for the 2-body dynamics with a simple rank-1 separable…

Nuclear Theory · Physics 2009-03-31 J. R. Shepard , J. A. McNeil

In the presence of extended defects, familiar incoming particles can scatter into exotic outgoing states created by twist operators. We show that one possible mechanism driving these "categorical scattering" processes is the presence of…

High Energy Physics - Theory · Physics 2026-05-15 Andrea Antinucci , Christian Copetti , Giovanni Galati , Giovanni Rizi

We comment on phase selection of the scattering amplitude, emphasizing that the elastic overlap function should have a central impact parameter profile at high energies and highlighting the role of the reflective scattering mode at the LHC…

High Energy Physics - Phenomenology · Physics 2021-03-10 S. M. Troshin , N. E. Tyurin

In the tight-binding approximation we consider multi-channel transmission through a billiard coupled to leads. Following Dittes we derive the coupling matrix, the scattering matrix and the effective Hamiltonian, but take into account the…

Quantum Physics · Physics 2009-11-10 Almas F. Sadreev , Ingrid Rotter

We revisit the low-energy $K^+N$ elastic scatterings in the context of the in-medium quark condensate with strange quarks. The chiral ward identity connects the in-medium quark condensate to the soft limit value of the pseudoscalar…

High Energy Physics - Phenomenology · Physics 2024-04-05 Yutaro Iizawa , Daisuke Jido , Stephan Hübsch